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Finding the Fourth Proportional to 57,864, 79,852.80 and 31,368

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Solution

The fourth proportional to 57,864, 79,852.80 and 31,368 is: 43,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864 : 79,852.80 = 31,368 : x
  2. Step 2: Convert to fraction form
    57,864/79,852.80 = 31,368/x
  3. Step 3: Cross multiply
    57,864x = 79,852.80 × 31,368
  4. Step 4: Simplify right side
    57,864x = 2,504,822,630.40
  5. Step 5: Solve for x
    x = 2,504,822,630.40/57,864
  6. Step 6: Final answer
    x = 43,288.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.